Basis light-front quantization for the $Λ_b$ and $Σ_b$ baryons
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915199680774144 |
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| author | Meng, Lingdi Peng, Tian-Cai Hu, Zhi Xu, Siqi Lan, Jiangshan Mondal, Chandan Wang, Guo-Li Zhao, Xingbo Vary, James P. |
| author_facet | Meng, Lingdi Peng, Tian-Cai Hu, Zhi Xu, Siqi Lan, Jiangshan Mondal, Chandan Wang, Guo-Li Zhao, Xingbo Vary, James P. |
| contents | Within the basis light-front quantization framework, we compute the masses and light-front wave functions of the $Λ_b$ baryon and its isospin triplet counterparts $Σ_b^+$, $Σ_b^0$, and $Σ_b^-$ using a light-front effective Hamiltonian in the leading Fock sector. These wave functions are obtained as eigenstates of the effective Hamiltonian, which incorporates the one-gluon exchange interaction with fixed coupling and a three-dimensional confinement potential. With the quark masses and the couplings as adjustable parameters, the computed masses are set within the experimental range. The resulting predictions for their electromagnetic properties align well with other theoretical calculations. Additionally, the parton distribution functions (PDFs) of these baryons are obtained for the first time, with gluon and sea quark distributions dynamically generated through QCD evolution of the valence quark PDFs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10026 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Basis light-front quantization for the $Λ_b$ and $Σ_b$ baryons Meng, Lingdi Peng, Tian-Cai Hu, Zhi Xu, Siqi Lan, Jiangshan Mondal, Chandan Wang, Guo-Li Zhao, Xingbo Vary, James P. High Energy Physics - Phenomenology High Energy Physics - Theory Within the basis light-front quantization framework, we compute the masses and light-front wave functions of the $Λ_b$ baryon and its isospin triplet counterparts $Σ_b^+$, $Σ_b^0$, and $Σ_b^-$ using a light-front effective Hamiltonian in the leading Fock sector. These wave functions are obtained as eigenstates of the effective Hamiltonian, which incorporates the one-gluon exchange interaction with fixed coupling and a three-dimensional confinement potential. With the quark masses and the couplings as adjustable parameters, the computed masses are set within the experimental range. The resulting predictions for their electromagnetic properties align well with other theoretical calculations. Additionally, the parton distribution functions (PDFs) of these baryons are obtained for the first time, with gluon and sea quark distributions dynamically generated through QCD evolution of the valence quark PDFs. |
| title | Basis light-front quantization for the $Λ_b$ and $Σ_b$ baryons |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.10026 |